Question

Write down the quadratic equation whose roots are x = -7 and x = 1, and the coefficient of $x^2$ is 1. Enter your answer in the form "x^2 + bx + c = 0".

Answer 1

For this case we must write a quadratic equation of the form:

`x ^ 2 + bx + c = 0`

We have two roots:

`x_ {1} = - 7\\x_ {2} = 1`

Thus, we can rewrite the equation in a factored form as:

`(x + 7) (x-1) = 0`

If we apply distributive property we have:

`x ^ 2-x + 7x-7 = 0`

Different signs are subtracted and the major sign is placed.

`x ^ 2 + 6x-7 = 0`

Answer:

The quadratic equation is:

`x ^ 2 + 6x-7 = 0`